Upper bounds for spatial point process approximations
| dc.creator | Schuhmacher, Dominic | |
| dc.date | 2005-03-23 | |
| dc.date.accessioned | 2026-07-07T05:18:16Z | |
| dc.date.available | 2026-07-07T05:18:16Z | |
| dc.description | We consider the behavior of spatial point processes when subjected to a class of linear transformations indexed by a variable T. It was shown in Ellis [Adv. in Appl. Probab. 18 (1986) 646-659] that, under mild assumptions, the transformed processes behave approximately like Poisson processes for large T. In this article, under very similar assumptions, explicit upper bounds are given for the d_2-distance between the corresponding point process distributions. A number of related results, and applications to kernel density estimation and long range dependence testing are also presented. The main results are proved by applying a generalized Stein-Chen method to discretized versions of the point processes. | |
| dc.description | Published at http://dx.doi.org/10.1214/105051604000000684 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0503491 | |
| dc.identifier | http://arxiv.org/abs/math/0503491 | |
| dc.identifier | Annals of Applied Probability 2005, Vol. 15, No. 1B, 615-651 | |
| dc.identifier | doi:10.1214/105051604000000684 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74603 | |
| dc.subject | Probability | |
| dc.subject | 60G55 (Primary) 62E20, 62G07. (Secondary) | |
| dc.title | Upper bounds for spatial point process approximations | |
| dc.type | text |